Data Representation
As numerical softwares are highly efficient for approximate numerical computation, it is common, in computer algebra, to emphasize on exact computation with exactly represented data. Such an exact representation implies that, even when the size of the output is small, then the intermediate data that are generated during a computation may grow in an unpredictable way. This behavior is called expression swell. To obviate to this problem, various methods are used in the representation of the data, as well as in the algorithms that manipulate them.
Read more about this topic: Symbolic Computation, Computer Science Aspects
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